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Finding the Fourth Proportional to 422,411.25, 633,617.69 and 102,561.77

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Solution

The fourth proportional to 422,411.25, 633,617.69 and 102,561.77 is: 153,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,411.25 : 633,617.69 = 102,561.77 : x
  2. Step 2: Convert to fraction form
    422,411.25/633,617.69 = 102,561.77/x
  3. Step 3: Cross multiply
    422,411.25x = 633,617.69 × 102,561.77
  4. Step 4: Simplify right side
    422,411.25x = 64,984,948,108.81
  5. Step 5: Solve for x
    x = 64,984,948,108.81/422,411.25
  6. Step 6: Final answer
    x = 153,842.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.